I find the term 'Fine Art Photography' a little pretentious, and agree with Cate and others about the distinction between art and craft. Often the photographer's description of why they call their work 'Fine Art' seems to have more to do with craft than art. But it is their right to call their work whatever they want.
One of the distinct, magical qualities of photography that attracts me is that it is capable of being mechanically reproduced at low cost and good quality. I like its proletarian nature, in contrast to the more aristocratic fine art. I have nothing against the aristocracy or people who make non-reproducible photographs, and this is not inverted snobbery, it's just that I feel like a proletarian at heart.